"Tomas's MRI reveals a partial rupture of the thigh muscle," team doctor Petr Zeman was quoted as saying on Saturday by Czech daily Mlada Fronta Dnes on their website.
"He definitely won't be playing in any match in the coming days and certainly not against Turkey.
"The treatment time is very individual but it ranges between three to six weeks," he added. "It doesn't look good."
The midfielder was a risky inclusion in Pavel Vrba's squad having not played a single league game at Arsenal last season, and underwent a scan on Saturday after being injured late on against Croatia.
The Czech Republic fought back from 2-0 down to take a point having lost their opener against Spain, and face Turkey on Tuesday in their final Group D match.
(Reporting by Ed Dove, editing by Julien Pretot)
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